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Worksheet: Order of Rotational Symmetry

In this worksheet, we will practice find the order of rotational symmetry of a geometric figure.

Q1:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 9 0 ∘
  • B no
  • C yes, 1 8 0 ∘
  • D yes, 1 2 0 ∘
  • E yes, 6 0 ∘

Q2:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 1 8 0 ∘
  • B yes, 9 0 ∘
  • C yes, 1 2 0 ∘
  • D no
  • E yes, 6 0 ∘

Q3:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 9 0 ∘
  • B no
  • C yes, 1 2 0 ∘
  • D yes, 1 8 0 ∘
  • E yes, 6 0 ∘

Q4:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 9 0 ∘
  • B no
  • C yes, 1 2 0 ∘
  • D yes, 1 8 0 ∘
  • E yes, 6 0 ∘

Q5:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 9 0 ∘
  • B no
  • C yes, 1 2 0 ∘
  • D yes, 1 8 0 ∘
  • E yes, 6 0 ∘

Q6:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 1 8 0 ∘
  • B no
  • C yes, 1 2 0 ∘
  • D yes, 9 0 ∘
  • E yes, 6 0 ∘

Q7:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 9 0 ∘
  • B no
  • C yes, 1 2 0 ∘
  • D yes, 1 8 0 ∘
  • E yes, 6 0 ∘

Q8:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 9 0 ∘
  • B no
  • C yes, 1 2 0 ∘
  • D yes, 1 8 0 ∘
  • E yes, 6 0 ∘

Q9:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 1 8 0 ∘
  • B yes, 9 0 ∘
  • C yes, 1 2 0 ∘
  • D no
  • E yes, 6 0 ∘

Q10:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 1 8 0 ∘
  • B yes, 9 0 ∘
  • C yes, 1 2 0 ∘
  • D no
  • E yes, 6 0 ∘

Q11:

What is the order of rotational symmetry of a square?

Q12:

What is the order of rotational symmetry of a parallelogram?

Q13:

Determine whether the following statement is true or false: If a figure has one horizontal and one vertical line of symmetry, then it also has rotational symmetry.

  • A true
  • B false

Q14:

If you subtract the number of lines of symmetry of a regular hexagon from its order of rotational symmetry, what do you get?

Q15:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 4 5 ∘
  • B yes, 9 0 ∘
  • C yes, 3 0 ∘
  • D no
  • E yes, 1 8 0 ∘

Q16:

When Rania first looked at the clock the minute hand pointed towards the 12, when she next looked up at the clock, the minute hand had turned and now pointed towards the 3. State the transformation of the minute hand.

  • Atranslation
  • Breflection
  • Crotation

Q17:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 4 5 ∘
  • B no
  • C yes, 3 0 ∘
  • D yes, 1 8 0 ∘
  • E yes, 9 0 ∘

Q18:

△ 𝐴 𝐵 ′ 𝐶 ′ is the image of △ 𝐴 𝐵 𝐶 by an anticlockwise rotation of 𝑥 ∘ about 𝐴 . Find 𝑥 .

Q19:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 4 5 ∘
  • B no
  • C yes, 3 0 ∘
  • D yes, 9 0 ∘
  • E yes, 1 8 0 ∘

Q20:

Does the following figure have rotational symmetry? If yes, find the angle of rotation.

  • A yes, 4 5 ∘
  • B yes, 9 0 ∘
  • C yes, 3 0 ∘
  • D no
  • E yes, 1 8 0 ∘

Q21:

What is the image of △ 𝐶 𝐷 𝑀 after a − 1 0 8 ∘ rotation?

  • A △ 𝐸 𝐹 𝑀
  • B △ 𝐹 𝐺 𝑀
  • C △ 𝐴 𝐵 𝑀
  • D △ 𝑃 𝐴 𝑀

Q22:

State the order of rotational symmetry of a dodecagon.

Q23:

What is the order of rotational symmetry of a regular trapezoid?

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